A number of swastika symbols have been painted on vehicles and a wall in Lockerbie.
Officers are currently investigating the spate of vandalism which happened near McConechy's garage in the town between 12.30pm on Sunday and 7.30am this morning.
Constable David Noble said:
Anyone with information and wishes to remain anonymous can call Crimestoppers on 0800 555 111.
A 17-year-old man from Dumfries has been arrested in relation to the vandalism at St Michaels Church Yard in Dumfries. The sign of satan was sprayed on the Mausoleum, as well as the headstones and front door of the historic church. A report will be sent to the Procurator Fiscal.
Police are seeking for information after two vehicles in Gretna, Dumfries & Galloway were vandalised overnight.
A white Nissan Note and a silver Honda Jazz both had their tyres vandalised in the street between 2pm on Tuesday, 9th May and 10.15am on Wednesday, 10th May.
Anyone with information can contact officers at Annan Police Office on 101, quoting incident number PDG0106920517.
Eight cars parked in Gretna were vandalised causing thousands of pounds of damage.
Police say the vehicles, parked in Central Avenue, had their paintwork damaged at various times of the day on Friday 6 November.
The cars included three BMWs, a Mercedes, a Fiat, A VW, a Peugeot and a Vauxhall Astra.
Police want to speak to anyone with information on who might be responsible.
Police Scotland want to trace around 10 children, aged between 5 to 11 years who are responsible for smashing a glass panel at the railway station in Sanquhar.
The group of children were seen throwing stones across the railway line at around 18:30 on Friday 31 July.
Vandals in Dumfries have damaged both a field of poppies planted to commemorate the 100th anniversary of the first world war and a community orchard designed to help feed those in need.
Matthew Taylor reports.
Police in Dumfries and Galloway have urged people to contact them in cases of anti-social behaviour.
The appeal comes after a community orchard in the county, designed to help feed those in need and planted by local volunteers, was damaged by vandals.
A community orchard, which was designed to help feed those in need, has been damaged by vandals in Dumfries.
More than 60 volunteers were involved in planting the trees, and the project is thought to have cost around £7,500.
Also targeted in the act of destruction was a nearby poppy field to commemorate the centenary of the First World War.